Hmmmm I think skipping hair shampooing/conditioning or not wetting your hair every shower cuts down significantly. Some days when I have low spoons, I only really focus on scrubbing up the essential body parts. Also focusing on exfoliating every other shower or something may help and is probably better for your skin. Also not shaving in the shower, especially if youre shaving legs/pits/etc. I'll fill the bathroom sink with warm water and shave that way, when I do.

I've never thought to pick loose hairs. When I wash my hair ill try to gather those so I don't clog the drain but usually once you towel off and dry if there are hairs stuck to you they will kinda fall off.